Arguably, nothing you want to convince yourself of is deniable to yourself. An unprovable subjective certainty is a little like a tree falling in the woods.

The thing that I'm trying to get at is, if you can't even truly prove to yourself that your own consciousness does not arise from computation (the "chinese room" thought experiment tries to do this but imo it just begs the question), any attempt to prove it to others is hard to take seriously. There's just always so many assumptions layered in before we get to the argument.